100111100010009 has 16 divisors (see below), whose sum is σ = 146084364601344. Its totient is φ = 60478302640400.

The previous prime is 100111100010007. The next prime is 100111100010041. The reversal of 100111100010009 is 900010001111001.

It is a cyclic number.

It is not a de Polignac number, because 100111100010009 - 2¹ = 100111100010007 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100111100010009.

It is not an unprimeable number, because it can be changed into a prime (100111100010007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4877272209 + ... + 4877292734.

It is an arithmetic number, because the mean of its divisors is an integer number (9130272787584).

Almost surely, 2^{100111100010009} is an apocalyptic number.

It is an amenable number.

100111100010009 is a deficient number, since it is larger than the sum of its proper divisors (45973264591335).

100111100010009 is a wasteful number, since it uses less digits than its factorization.

100111100010009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9754565268.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 100111100010009 in words is "one hundred trillion, one hundred eleven billion, one hundred million, ten thousand, nine".